Anytime there is a full moon I encourage you to go out and shoot at sunset and beyond. At full moon the moonrise and sunset happen together so you’ll get the huge glowing orb of the moon just above the horizon while the foreground will still be lit by the dusk of the fading sun.
Use a tripod and a remote release if you have one. If you don’t have a remote, use the self timer to help the camera settle down before the exposure. Experiment with different White Balance settings on your cameras. If you’re shooting raw you can play with white balance later in software. On some cameras there will be a dedicated WB button. On many Nikons you get to the WB setting by pressing the “i” button twice on the back. That gets you into the “Info” display which lets you set a lot of the most important functions on your camera without having to dive into the menus, where you could be lost for hours. On many Canons the equivalent button is “Q” which stands for “Quickset”.
Look on the left side of your lens. Most of you will have a button that either says VR (Vibration Reduction on Nikon) or IS (Image Stabilization on Canon). Turn that to the OFF position when you’re on a tripod. It sounds weird, but leaving it on will actually cause your images to be blurred. The VR/IS system is trying to neutralize vibration in the camera and when it’s on a tripod and nice and stable, the vibration of the shutter itself will “wake up” the VR/IS system and cause image blur. **Remember to turn it back ON when you’re through shooting for the night.
For exposure mode, if you’re still new to DSLR cameras I would try the P or Program mode. It will work well when the moon is low on the horizon and there is still color in the sky. Don’t use the full Auto mode or the flash will keep popping up. When the moon gets a little higher and the foreground is darker then the auto modes won’t work very well any more. The metering system will be confused by all of the dark sky and you’ll get a blank white circle for the moon with no features. If you’re a little more advanced then try the M (Manual) exposure mode, adjusting aperture and shutter speed until the metering marker is in the middle. Try a shot, then adjust to get the look you want. This would be a good time to play with Spot Metering as well. Put the metering spot right on the moon and use that exposure.
Have fun. If you get something good we’d love to see it.